MAT120 Final: ExamIII_M290AMF2018

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Instructions: you may use a non-graphing scienti c calculator. Make sure that your phone is o and put away. Answer in the space provided and make sure to show all work and give exact answers ( as opposed to 3. 1415) unless explicitly told to do otherwise. Hard to follow or illegible work will count as incorrect: (15 pts) find the general solution to x2y + xy + 4y = cos(2 ln x) Exam iii: childress, (15 pts) find the charge at time t for the following circuit if q(0) = 1 c and q(0) = 4 c/s. Clearly state the method that you are using to solve the ivp: undetermined coe cients, annihilator, variation of parameters, laplace transform, etc. Exam iii: childress, (15 pts) find the series solutions to the following ode: A complete solution will identify the series that you nd as a common function. xy .